100=0.05*(100+x)

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Solution for 100=0.05*(100+x) equation: 


Simplifying
100 = 0.05(100 + x)
100 = (100 * 0.05 + x * 0.05)
100 = (5 + 0.05x)

Solving
100 = 5 + 0.05x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.05x' to each side of the equation.
100 + -0.05x = 5 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
100 + -0.05x = 5 + 0.00
100 + -0.05x = 5

Add '-100' to each side of the equation.
100 + -100 + -0.05x = 5 + -100

Combine like terms: 100 + -100 = 0
0 + -0.05x = 5 + -100
-0.05x = 5 + -100

Combine like terms: 5 + -100 = -95
-0.05x = -95

Divide each side by '-0.05'.
x = 1900

Simplifying
x = 1900

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